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Finding the Fourth Proportional to 690, 1,035.28 and 305.04

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Solution

The fourth proportional to 690, 1,035.28 and 305.04 is: 457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 1,035.28 = 305.04 : x
  2. Step 2: Convert to fraction form
    690/1,035.28 = 305.04/x
  3. Step 3: Cross multiply
    690x = 1,035.28 × 305.04
  4. Step 4: Simplify right side
    690x = 315,801.81
  5. Step 5: Solve for x
    x = 315,801.81/690
  6. Step 6: Final answer
    x = 457.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.